82806667281 has 32 divisors (see below), whose sum is σ = 132162800000. Its totient is φ = 50938818624.

The previous prime is 82806667277. The next prime is 82806667301. The reversal of 82806667281 is 18276660828.

It is not a de Polignac number, because 82806667281 - 2² = 82806667277 is a prime.

It is a super-2 number, since 2×82806667281² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82806667271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 921990 + ... + 1007808.

It is an arithmetic number, because the mean of its divisors is an integer number (4130087500).

Almost surely, 2^82806667281 is an apocalyptic number.

It is an amenable number.

82806667281 is a deficient number, since it is larger than the sum of its proper divisors (49356132719).

82806667281 is a wasteful number, since it uses less digits than its factorization.

82806667281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88590 (or 88584 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 82806667281 in words is "eighty-two billion, eight hundred six million, six hundred sixty-seven thousand, two hundred eighty-one".